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Finding the Third Proportional to 110,009,077 and 233,131,892

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Solution

The third proportional to 110,009,077 and 233,131,892 is: 494,054,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,077 : 233,131,892 = 233,131,892 : x
  2. Step 2: Convert to fraction form
    110,009,077/233,131,892 = 233,131,892/x
  3. Step 3: Cross multiply
    110,009,077x = 233,131,892 × 233,131,892
  4. Step 4: Simplify right side
    110,009,077x = 54,350,479,067,499,664
  5. Step 5: Solve for x
    x = 54,350,479,067,499,664/110,009,077
  6. Step 6: Final answer
    x = 494,054,495.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.